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Finding the Third Proportional to 326,738 and 703,531

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Solution

The third proportional to 326,738 and 703,531 is: 1,514,840.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,738 : 703,531 = 703,531 : x
  2. Step 2: Convert to fraction form
    326,738/703,531 = 703,531/x
  3. Step 3: Cross multiply
    326,738x = 703,531 × 703,531
  4. Step 4: Simplify right side
    326,738x = 494,955,867,961
  5. Step 5: Solve for x
    x = 494,955,867,961/326,738
  6. Step 6: Final answer
    x = 1,514,840.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.